1. Unit 5: Motion Geometry Lesson 1: Translating Shapes

2. What Does It Mean To “Translate” A Shape??? The shape moves without rotating or resizing Every point on the shape moves the same distance and direction Its orientation (the way it’s positioned) does not change Translations can be made horizontally (left or right), vertically (up or down) and diagonally (across)

3. How To Translate Shapes Learn the translation rule - A rule to let you know how far you need to translate your object - U = Up - D = Down - L = Left - R = Right

4. Look at the Following Shape Translate this shape using the following rules: - 3R, 4D - 4L, 6D - 3L, 2U - 2R, 1U

5. Looking Back At Terms Co-ordinate Plane - What you plot your points on Ordered Pairs - X and Y component to show location of a point Origin - Where X and Y axis intersect X-Co-ordinate - First # of ordered pair Y-Co-ordinate - Second # of ordered pair X-Axis - Axis that run horizontally (left to right) Y-Axis - Axis that run vertically (up and down) Vertex (Vertices) - “Corners” of a shape – They will be labelled with a letter

6. Look at the Following Shape Call the bottom left Vertex “A” Call the bottom right Vertex “B” Call the top Vertex “C” What are the co- ordinates of each Vertex?

7. Reminders The 2-D shape (the triangle on the page) and its translated image are congruent = exact same shape and size Orientation (relative position) will be the same for the original and translated shape The vertices of the new image will be labelled as A’, B’, C’ etc.

8. Example

9. Cont. Translations If translation is… To the left - X-co-ordinate will decrease - ex: (3,4) to (2,4) To the right - X-co-ordinate will increase - ex: (3,4) to (4,4) Downward - Y-co-ordinate will decrease - ex: (3,4) to (3,3) Upward - Y-co-ordinate will increase - ex: (3,4) to (3,5)

10. Example The co-ordinates of the purple box are (1,14), (5,14), (1,11) and (5,11) The co-ordinated of the pink box are (1,4), (5,4), (1,1) and (5,1) How far is the pink one relative to the purple one?

11. In Your Math Journal Explain how knowing the translation rule will help you identify positional changes of the vertices

12. Questions!!! Do together: - Page 148-149: A-E Page 149-150: 1-7